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Finding the Third Proportional to 140,985,432 and 215,530,382.25

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Solution

The third proportional to 140,985,432 and 215,530,382.25 is: 329,490,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,985,432 : 215,530,382.25 = 215,530,382.25 : x
  2. Step 2: Convert to fraction form
    140,985,432/215,530,382.25 = 215,530,382.25/x
  3. Step 3: Cross multiply
    140,985,432x = 215,530,382.25 × 215,530,382.25
  4. Step 4: Simplify right side
    140,985,432x = 46,453,345,672,831,112
  5. Step 5: Solve for x
    x = 46,453,345,672,831,112/140,985,432
  6. Step 6: Final answer
    x = 329,490,394.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.